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Finding the Fourth Proportional to 235,670.42, 353,561.00 and 77,898.87

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Solution

The fourth proportional to 235,670.42, 353,561.00 and 77,898.87 is: 116,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,670.42 : 353,561.00 = 77,898.87 : x
  2. Step 2: Convert to fraction form
    235,670.42/353,561.00 = 77,898.87/x
  3. Step 3: Cross multiply
    235,670.42x = 353,561.00 × 77,898.87
  4. Step 4: Simplify right side
    235,670.42x = 27,542,001,986.58
  5. Step 5: Solve for x
    x = 27,542,001,986.58/235,670.42
  6. Step 6: Final answer
    x = 116,866.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.